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106196581241 is a prime number
BaseRepresentation
bin110001011100111001…
…1110011101101111001
3101011010000121021200122
41202321303303231321
53214442311044431
6120441441143025
710446436022012
oct1427163635571
9334100537618
10106196581241
1141046224323
12186b902aa75
13a02553666a
1451d6002009
152b68253a7b
hex18b9cf3b79

106196581241 has 2 divisors, whose sum is σ = 106196581242. Its totient is φ = 106196581240.

The previous prime is 106196581201. The next prime is 106196581259. The reversal of 106196581241 is 142185691601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86095296400 + 20101284841 = 293420^2 + 141779^2 .

It is an emirp because it is prime and its reverse (142185691601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106196581241 - 230 = 105122839417 is a prime.

It is a super-2 number, since 2×1061965812412 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106196581192 and 106196581201.

It is not a weakly prime, because it can be changed into another prime (106196581201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53098290620 + 53098290621.

It is an arithmetic number, because the mean of its divisors is an integer number (53098290621).

Almost surely, 2106196581241 is an apocalyptic number.

It is an amenable number.

106196581241 is a deficient number, since it is larger than the sum of its proper divisors (1).

106196581241 is an equidigital number, since it uses as much as digits as its factorization.

106196581241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 103680, while the sum is 44.

The spelling of 106196581241 in words is "one hundred six billion, one hundred ninety-six million, five hundred eighty-one thousand, two hundred forty-one".